Base | Representation |
---|---|
bin | 1011010001000… |
… | …1101110101100 |
3 | 10021220222112022 |
4 | 2310101232230 |
5 | 44044233130 |
6 | 4404525312 |
7 | 1112456000 |
oct | 264215654 |
9 | 107828468 |
10 | 47258540 |
11 | 2474904a |
12 | 139b0838 |
13 | 9a38644 |
14 | 63c2700 |
15 | 42377e5 |
hex | 2d11bac |
47258540 has 72 divisors (see below), whose sum is σ = 117146400. Its totient is φ = 16007712.
The previous prime is 47258503. The next prime is 47258543. The reversal of 47258540 is 4585274.
47258540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (35).
It is a self number, because there is not a number n which added to its sum of digits gives 47258540.
It is not an unprimeable number, because it can be changed into a prime (47258543) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 569339 + ... + 569421.
Almost surely, 247258540 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 47258540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58573200).
47258540 is an abundant number, since it is smaller than the sum of its proper divisors (69887860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47258540 is an equidigital number, since it uses as much as digits as its factorization.
47258540 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 196 (or 97 counting only the distinct ones).
The product of its (nonzero) digits is 44800, while the sum is 35.
The square root of 47258540 is about 6874.4847079618. The cubic root of 47258540 is about 361.5431188591.
Multiplying 47258540 by its sum of digits (35), we get a square (1654048900 = 406702).
47258540 divided by its sum of digits (35) gives a square (1350244 = 11622).
The spelling of 47258540 in words is "forty-seven million, two hundred fifty-eight thousand, five hundred forty".
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